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Finding the Third Proportional to 78,499.13 and 170,373.38

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Solution

The third proportional to 78,499.13 and 170,373.38 is: 369,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,499.13 : 170,373.38 = 170,373.38 : x
  2. Step 2: Convert to fraction form
    78,499.13/170,373.38 = 170,373.38/x
  3. Step 3: Cross multiply
    78,499.13x = 170,373.38 × 170,373.38
  4. Step 4: Simplify right side
    78,499.13x = 29,027,086,908.89
  5. Step 5: Solve for x
    x = 29,027,086,908.89/78,499.13
  6. Step 6: Final answer
    x = 369,775.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.